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Finding the Fourth Proportional to 6,483.12, 9,726.72 and 2,323.04

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Solution

The fourth proportional to 6,483.12, 9,726.72 and 2,323.04 is: 3,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.12 : 9,726.72 = 2,323.04 : x
  2. Step 2: Convert to fraction form
    6,483.12/9,726.72 = 2,323.04/x
  3. Step 3: Cross multiply
    6,483.12x = 9,726.72 × 2,323.04
  4. Step 4: Simplify right side
    6,483.12x = 22,595,559.63
  5. Step 5: Solve for x
    x = 22,595,559.63/6,483.12
  6. Step 6: Final answer
    x = 3,485.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.